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Finding the Fourth Proportional to 27,817.32, 41,730.30 and 9,345

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Solution

The fourth proportional to 27,817.32, 41,730.30 and 9,345 is: 14,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.32 : 41,730.30 = 9,345 : x
  2. Step 2: Convert to fraction form
    27,817.32/41,730.30 = 9,345/x
  3. Step 3: Cross multiply
    27,817.32x = 41,730.30 × 9,345
  4. Step 4: Simplify right side
    27,817.32x = 389,969,653.50
  5. Step 5: Solve for x
    x = 389,969,653.50/27,817.32
  6. Step 6: Final answer
    x = 14,018.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.